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Finding the Fourth Proportional to 165,211.68, 227,971.97 and 92,597.81

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Solution

The fourth proportional to 165,211.68, 227,971.97 and 92,597.81 is: 127,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,211.68 : 227,971.97 = 92,597.81 : x
  2. Step 2: Convert to fraction form
    165,211.68/227,971.97 = 92,597.81/x
  3. Step 3: Cross multiply
    165,211.68x = 227,971.97 × 92,597.81
  4. Step 4: Simplify right side
    165,211.68x = 21,109,704,548.95
  5. Step 5: Solve for x
    x = 21,109,704,548.95/165,211.68
  6. Step 6: Final answer
    x = 127,773.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.